Article
Mathematics, Interdisciplinary Applications
Linwu Zhong, Liming Zhang, Haihong Li, Qionglin Dai, Junzhong Yang
Summary: This study investigates species coexistence in modified RPSLS games and finds that the interaction structure is crucial for the evolutionary dynamics and different states of multi-species coexistence.
CHAOS SOLITONS & FRACTALS
(2022)
Article
Biology
Kalyan Manna, Vitaly Volpert, Malay Banerjee
Summary: This paper explores various spatiotemporal patterns formed by different species in natural competition, including cyclic competition models with periodic population distributions and Turing patterns; demonstrates the impact of different cyclic orderings on system dynamics; and discusses the effects of introducing nonlocal competition on species extinction and biodiversity.
BULLETIN OF MATHEMATICAL BIOLOGY
(2021)
Article
Biodiversity Conservation
Worrapan Phumanee, Robert Steinmetz, Rungnapa Phoonjampa, Thawatchai Bejraburnin, Naris Bhumpakphan, Tommaso Savini
Summary: The study found that tiger occupancy was influenced by the availability of remnant sambar, while leopard occupancy was related to the presence of wild pig. Contrary to the hypothesis, leopards were not completely excluded from tiger-occupied zones, but their detectability was significantly lower, indicating fine-scale avoidance behavior.
GLOBAL ECOLOGY AND CONSERVATION
(2021)
Article
Multidisciplinary Sciences
Stuart L. Pimm, Jared Diamond, K. David Bishop
Summary: The distribution of fruit pigeons on the island of New Guinea is influenced by geographical accessibility. The coexistence of species in a particular year and location is a nonrandom selection process. The sizes of these species are more widely spread and evenly spaced compared to random sets of species. Additionally, the local status of a highly mobile species decreases as other resident species become more closely related.
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
(2023)
Article
Multidisciplinary Sciences
Xinyi Yan, Jonathan M. Levine, Gaurav S. Kandlikar
Summary: Soil microorganisms play a major role in shaping plant diversity, not only through their direct effects as pathogens, mutualists, and decomposers, but also by altering the outcome of plant interactions. Microbially mediated fitness differences are an important but overlooked effect of soil microbes on plant coexistence, and they have a significant impact on the processes that maintain plant biodiversity.
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
(2022)
Article
Ecology
Christopher A. Johnson
Summary: Mutualisms are important in maintaining biodiversity, but are not currently included in existing coexistence theory, leading to potential errors in assessing how mutualisms affect the coexistence of competing species. The author develops a theory predicting how multitrophic mutualisms mediate species coexistence and demonstrates the importance of considering mutualisms in evaluating coexistence consequences.
Article
Ecology
Cyrill Hess, Jonathan M. Levine, Martin M. Turcotte, Simon P. Hart
Summary: This article investigates the ecological explanations for species coexistence and the impact of trait changes on competitive outcomes. The study finds that phenotypic plasticity can promote species coexistence in a way that is not captured by traditional measures of niche differentiation.
NATURE ECOLOGY & EVOLUTION
(2022)
Article
Mathematics, Interdisciplinary Applications
Junpyo Park, Xiaojie Chen, Attila Szolnoki
Summary: In a diverse population, competitors can form alliances to ensure stable coexistence against invasion. We studied a Lotka-Volterra model of eight-species and found that equally strong alliances were more likely to prevail. However, there were regions where symmetry was broken and a solution dominated by seven species emerged. Finite-size effects could also prevent observing the valid solution in a small system.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Ecology
J. Christopher D. Terry, Jinlin Chen, Owen T. Lewis
Summary: The study experimentally tested the role of a generalist enemy in promoting the coexistence of competing insect species and found idiosyncratic impacts, without evidence of an overall trade-off between reproductive rate and susceptibility to enemies. Modern coexistence theory proved valuable in multi-trophic contexts, but unable to easily predict the overall impact of generalist natural enemies. The Bayesian approach highlighted the separability issues in model parameters and demonstrated the utility of using the full posterior parameter distribution for understanding species coexistence.
JOURNAL OF ANIMAL ECOLOGY
(2021)
Article
Mathematics, Applied
Yao Shi, Xiongxiong Bao
Summary: This paper provides an analysis of a mathematical model for two competing species in a chemostat, where they feed on a single resource and the dominant species can flocculate. The existence and uniqueness of positive solutions to the single-species model with flocculation are established. Furthermore, the study shows that when the superior species flocculates, there can be coexistence of all species for small attachment.
APPLIED MATHEMATICS LETTERS
(2023)
Article
Ecology
Jaime M. Anaya-Rojas, Ronald D. Bassar, Tomos Potter, Allison Blanchette, Shay Callahan, Nick Framstead, David Reznick, Joseph Travis
Summary: Theory suggests that competing species can coexist in a community when intraspecific competition is stronger than interspecific competition. This study found that the evolution of species- and size-dependent competitive asymmetries increased the likelihood of coexistence between interacting species. Furthermore, the research highlights the importance of integrating evolution and trait-based interactions into studies on species coexistence.
JOURNAL OF ANIMAL ECOLOGY
(2021)
Article
Ecology
Jacob Levine, Jonathan M. Levine, Theo Gibbs, Stephen W. Pacala
Summary: Competition for water and phenological variation are important factors influencing plant community structure. A new study demonstrates that phenological variation alone can maintain high species diversity in water-limited plant communities through the mechanism of shortening competitors' growing season.
Article
Ecology
Masato Yamamichi, Andrew D. Letten
Summary: Recent studies show that rapid contemporary evolution can regulate species coexistence through a balance between temporal fluctuations and competitive ability versus adaptive evolution speed. This interaction expands the range of coexistence conditions and stability, providing a solution to the paradox of the plankton.
Article
Mathematics, Applied
Junpyo Park, Bongsoo Jang
Summary: The study investigates the structural stability of coexistence of mobile species in cyclic competition games, finding that network complexity strongly affects the stability of coexistence by changes in competition rate and lattice size. Intense intraspecific competition leads to more robust coexistence in small-sized lattices, while strengthening interspecific competition changes critical mobility and spatial size for stable coexistence. The finding provides insights into species coexistence on spatially extended systems with respect to network complexity.
APPLIED MATHEMATICS AND COMPUTATION
(2021)
Article
Ecology
Helin Zhang, Daniel Bearup, Ivan Nijs, Shaopeng Wang, Gyorgy Barabas, Yi Tao, Jinbao Liao
Summary: Understanding the mechanisms of biodiversity maintenance is a fundamental issue in ecology. The possibility that species disperse within the landscape along differing paths presents a relatively unexplored mechanism by which diversity could emerge. By embedding a classical metapopulation model within a network framework, researchers found that coexistence is possible on unshared dispersal networks, with species forming self-organised clusters of occupied patches. Additionally, increasing species colonisation rates or average patch connectivity in unshared networks leads to a unimodal biodiversity response, with increasing network size monotonically increasing species richness and producing characteristic species-area curves. This suggests that many more species can co-occur than previously predicted based on the number of limiting resources.
Article
Mathematics, Interdisciplinary Applications
Xiaoming Zhang, Jianhua Xie, Denghui Li, Zhenbang Cao, Celso Grebogi
Summary: This work proves the existence of invariant tori in the breathing circle billiard near infinity, which ensures the boundedness of energy when the motion of boundary is regular enough. It also provides new insights into the dynamics of the Fermi-Ulam model under certain conditions.
CHAOS SOLITONS & FRACTALS
(2022)
Article
Mathematics, Interdisciplinary Applications
Gaolei Li, Yuan Yue, Celso Grebogi, Denghui Li, Jianhua Xie
Summary: This study found that SNAs can be generated in periodically forced nonsmooth systems with a small amount of noise, and their generation is related to periodic windows and parameter variations. Furthermore, noise-induced SNAs can also be generated by periodic attractors near the boundary crisis. In addition, with an increasing noise intensity, intermittency between SNAs and periodic attractors can be induced by transient chaos.
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY
(2022)
Article
Engineering, Mechanical
Na Dong, Wenjin Lv, Shuo Zhu, Zhongke Gao, Celso Grebogi
Summary: This research explores the temperature tracking control problem of single-effect LiBr/H2O absorption chiller using model-free adaptive control strategy, and improves the control effect by adding output error rate to the objective function.
NONLINEAR DYNAMICS
(2022)
Article
Engineering, Mechanical
Zi-Xuan Zhou, Hai-Peng Ren, Celso Grebogi
Summary: A small amplitude resonant perturbation method is proposed in this study to suppress chaos in the FSRL system, which results in small continuous changes unlike the sudden changes in rotation speed from previous impulse control methods. The proposed method also does not alter the average rotation speed, meeting the requirement of crystal growth technique.Numerical simulations validate the effectiveness of the proposed chaos control method.
NONLINEAR DYNAMICS
(2022)
Article
Engineering, Mechanical
Pengcheng Miao, Denghui Li, Shan Yin, Jianhua Xie, Celso Grebogi, Yuan Yue
Summary: This paper investigates the impact of flange contact on the dynamical behavior of railway vehicle systems and mathematically analyzes the double grazing bifurcations. The results show that in the rigid impact model, the system transitions from stable periodic motion to chaos, while in the soft impact model, a pitchfork bifurcation occurs and the system tends to chaos through period doubling bifurcation.
NONLINEAR DYNAMICS
(2023)
Article
Engineering, Marine
Chen Feng, Shuang Gao, Simin Chen, Zhongke Gao, Celso Grebogi
Summary: Motion state monitoring and recognition are crucial for improving the reliability of Autonomous Underwater Vehicles (AUVs). This work proposes a novel method for classifying the motion states of AUVs by transforming the problem into Multi-variate Time Series Classification (MTSC). By combining feature representation transformation and Deep Neural Network (DNN), the proposed method utilizes Graph Convolutional Neural Network (GCNN) to extract the features of complex networks representing the motion states and achieve higher classification accuracy compared to Support Vector Machines (SVM) and other DNNs.
Article
Mathematics, Interdisciplinary Applications
Denghui Li, Xiaoming Zhang, Xianbin Liu, Jianhua Xie, Celso Grebogi
Summary: We study a model where a ball falls freely and bounces elastically off a moving wall that follows a given quasiperiodic function in the vertical direction. Using the invariant curve theorem of smooth quasiperiodic twist map, we establish the boundedness of all solutions and the existence of quasi-periodic solutions for the system.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Mathematics, Applied
Xiaomin Ren, Youming Lei, Celso Grebogi, Murilo S. Baptista
Summary: Higher-order interactions play a crucial role in modeling complex systems. In our study, we investigated the stability of synchronization in complex networks with higher-order structures. Surprisingly, we found that the synchronization level remains unaffected by the intensity of coupling strength across different orders. Our results challenge the previous notion that higher-order interactions promote synchronization stability and instead demonstrate that lower-order and higher-order topologies work together to provide the optimal stable configuration. Additionally, we discovered that simply adding higher-order interactions based on existing connections does not significantly impact synchronization. Our work, which includes a comprehensive analysis of different network topologies and appropriate rescaling, has universal applicability in assessing the impact of higher-order interactions on synchronization stability.
Article
Mathematics, Applied
Pengcheng Miao, Denghui Li, Yuan Yue, Celso Grebogi
Summary: This paper investigates the stability and Bautin bifurcation of a four-wheel-steering (4WS) vehicle system by considering driver steering control. The first and second Lyapunov coefficients are calculated to predict the type of Hopf bifurcation. The topological structure of Bautin bifurcation in parameter space is presented, revealing the dynamics of the vehicle system under different control parameter choices.
Article
Mathematics, Applied
Zhi-Dan Zhao, Yu Wang, Wei-Peng Nie, Chu-Yong Lin, Shi-Min Cai, Celso Grebogi
Summary: With the development of information technology, travel data has become more accessible for researchers to study travel behavior. In this study, we propose a travel scheduling solution that considers time and space costs, namely the Spatial-Temporal Hopcroft-Karp (STHK) algorithm, which significantly reduces off-load time and distance while retaining the characteristics of human travel behavior. Our research shows that the new planning algorithm provides the optimal fleet size to meet urban travel needs, reducing energy consumption and carbon dioxide emissions.
Article
Mathematics, Applied
Run Liu, Celso Grebogi, Yuan Yue
Summary: Considering a piecewise linear oscillator with quasiperiodic excitation, the route of double grazing bifurcation of quasiperiodic torus to strange nonchaotic attractors (SNAs) is uncovered. The maximum displacement for double grazing bifurcation of the quasiperiodic torus can be obtained analytically. SNAs are born when the smooth quasiperiodic torus loses its smoothness and becomes everywhere non-differentiable after double grazing. The nonchaotic property of SNAs is verified using the Lyapunov exponent, while their strange properties are characterized by phase sensitivity, power spectrum, singular continuous spectrum, and fractal structure.
Article
Physics, Multidisciplinary
Xianzhang Chen, Zhen-Qi Chen, Liang Huang, Celso Grebogi, Ying-Cheng Lai
Summary: In this article, the effects of many-body interactions on the spectral statistics of relativistic quantum systems are investigated. Graphene billiards with the geometric shape of a circular sector are used as prototypical systems. The statistics are considered as either Poisson or Gaussian orthogonal ensemble (GOE), and the changes in statistics as the interaction strength increases are systematically studied. It is found that the Hubbard interactions have a significant effect on the spectral statistics for energies near the Dirac point.
PHYSICAL REVIEW RESEARCH
(2023)
Article
Engineering, Biomedical
Peiyin Chen, He Wang, Xinlin Sun, Haoyu Li, Celso Grebogi, Zhongke Gao
Summary: In this study, a novel domain adaptation method with optimal transport and frequency mixup is proposed for cross-subject transfer learning in motor imagery BCIs. The method maps preprocessed EEG signals from source and target domains into latent space and aligns their distribution using optimal transport. Experimental results show that the proposed method outperforms previous state-of-the-art domain adaptation approaches.
IEEE TRANSACTIONS ON NEURAL SYSTEMS AND REHABILITATION ENGINEERING
(2022)
Article
Multidisciplinary Sciences
Yu Meng, Ying-Cheng Lai, Celso Grebogi
Summary: This study reveals that multiplexity can delay the occurrence of tipping points in ecological networks, thereby aiding species recovery. The mutualistic links between dispersing species and residence species have fundamental benefits to the well-being of the ecosystem, helping to sustain certain types of ecosystems that are in danger of extinction.
JOURNAL OF THE ROYAL SOCIETY INTERFACE
(2022)
Article
Physics, Multidisciplinary
Junjie Jiang, Zi-Gang Huang, Celso Grebogi, Ying-Cheng Lai
Summary: In this paper, we propose a framework based on deep convolutional neural network (DCNN) for model-free prediction of extreme events in two-dimensional nonlinear physical systems in both time and space dimensions. Through validation using synthetic data and actual wind speed data, the trade-offs between prediction horizon, spatial resolution, and accuracy are illustrated, and the detrimental effect of spatial bias on prediction accuracy is discussed.
PHYSICAL REVIEW RESEARCH
(2022)
