Journal
NONLINEAR DYNAMICS
Volume 69, Issue 4, Pages 1915-1927Publisher
SPRINGER
DOI: 10.1007/s11071-012-0396-0
Keywords
Homoclinic orbits; Poincare map; Horseshoes; Chaotic attractor; Piecewise linear systems
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Funding
- National Natural Science Foundation of China [10972082, 61104150]
- Fundamental Research Funds for the Central Universities, HUST [20101365]
- Natural Science Foundation Project of Chongqing [CSTC2011JJA13]
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The existence of horseshoes is proved in a class of 3-dim piecewise linear systems, in which a homoclinic orbit connecting the origin to itself is explicitly given. Based on these results, a mathematically rigorous methodology for design of chaos generators is proposed. Implementation of such chaos generators by circuit is easy and the chaotic attractor is robust under small perturbations.
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