A Mathematical Framework for Critical Transitions: Normal Forms, Variance and Applications
出版年份 2012 全文链接
标题
A Mathematical Framework for Critical Transitions: Normal Forms, Variance and Applications
作者
关键词
Critical transition, Tipping point, Fast-slow system, Invariant manifold, Stochastic differential equation, Multiple time scales, Moment estimates, Asymptotic analysis, Laplace integral, Thermohaline circulation, Activator–inhibitor system, Adaptive networks, SIS-epidemics, Bazykin predator–prey model, Euler buckling, 34F05, 34E15, 60H10
出版物
JOURNAL OF NONLINEAR SCIENCE
Volume 23, Issue 3, Pages 457-510
出版商
Springer Nature
发表日期
2012-12-13
DOI
10.1007/s00332-012-9158-x
参考文献
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注意:仅列出部分参考文献,下载原文获取全部文献信息。- Hunting French ducks in a noisy environment
- (2012) Nils Berglund et al. JOURNAL OF DIFFERENTIAL EQUATIONS
- Quantifying limits to detection of early warning for critical transitions
- (2012) C. Boettiger et al. Journal of the Royal Society Interface
- Mixed-mode oscillations and interspike interval statistics in the stochastic FitzHugh–Nagumo model
- (2012) Nils Berglund et al. NONLINEARITY
- Tipping points in open systems: bifurcation, noise-induced and rate-dependent examples in the climate system
- (2012) P. Ashwin et al. PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
- Time-scale and noise optimality in self-organized critical adaptive networks
- (2012) Christian Kuehn PHYSICAL REVIEW E
- Scaling Effects and Spatio-Temporal Multilevel Dynamics in Epileptic Seizures
- (2012) Christian Meisel et al. PLoS One
- Mixed-Mode Oscillations with Multiple Time Scales
- (2012) Mathieu Desroches et al. SIAM REVIEW
- Slowing Down in Spatially Patterned Ecosystems at the Brink of Collapse
- (2011) Vasilis Dakos et al. AMERICAN NATURALIST
- A mathematical framework for critical transitions: Bifurcations, fast–slow systems and stochastic dynamics
- (2011) Christian Kuehn PHYSICA D-NONLINEAR PHENOMENA
- Regime shifts in ecological systems can occur with no warning
- (2010) Alan Hastings et al. ECOLOGY LETTERS
- Tipping points: Early warning and wishful thinking
- (2010) Peter D. Ditlevsen et al. GEOPHYSICAL RESEARCH LETTERS
- Climate tipping as a noisy bifurcation: a predictive technique
- (2010) J. M. T. Thompson et al. IMA JOURNAL OF APPLIED MATHEMATICS
- EARLY WARNINGS FOR CATASTROPHIC SHIFTS IN ECOSYSTEMS: COMPARISON BETWEEN SPATIAL AND TEMPORAL INDICATORS
- (2010) RAUL DONANGELO et al. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
- Periodic orbits and chaos in fast–slow systems with Bogdanov–Takens type fold points
- (2010) Hayato Chiba JOURNAL OF DIFFERENTIAL EQUATIONS
- Early warning signals of extinction in deteriorating environments
- (2010) John M. Drake et al. NATURE
- Early-warning signals for critical transitions
- (2009) Marten Scheffer et al. NATURE
- Spatial correlation as leading indicator of catastrophic shifts
- (2009) Vasilis Dakos et al. Theoretical Ecology
- Random Perturbations of Canards
- (2008) Richard B. Sowers JOURNAL OF THEORETICAL PROBABILITY
- Influence of the event magnitude on the predictability of an extreme event
- (2008) S. Hallerberg et al. PHYSICAL REVIEW E
- Slowing down as an early warning signal for abrupt climate change
- (2008) V. Dakos et al. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
- Tipping elements in the Earth's climate system
- (2008) T. M. Lenton et al. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
- Mixed-Mode Oscillations in Three Time-Scale Systems: A Prototypical Example
- (2008) Martin Krupa et al. SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS
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