Route to hyperbolic hyperchaos in a nonautonomous time-delay system
DOI10.1063/5.0022645zbMath1451.34037arXiv1908.08001OpenAlexW3102937099WikidataQ103824639 ScholiaQ103824639MaRDI QIDQ5140883
Sergey P. Kuznetsov, Pavel V. Kuptsov
Publication date: 17 December 2020
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.08001
Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Complex (chaotic) behavior of solutions to functional-differential equations (34K23)
Uses Software
Cites Work
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- Parametric generation of robust chaos with time-delayed feedback and modulated pump source
- Cryptanalysis of a new image encryption algorithm based on hyper-chaos
- An equation for hyperchaos
- Hyperchaos-chaos-hyperchaos transition in modified Rössler systems
- A novel image encryption scheme based on spatial chaos map
- Measuring the strangeness of strange attractors
- Unstable dimension variability: A source of nonhyperbolicity in chaotic systems
- Lyapunov analysis of strange pseudohyperbolic attractors: angles between tangent subspaces, local volume expansion and contraction
- Chaos and hyperchaos in coupled antiphase driven Toda oscillators
- Theory and computation of covariant Lyapunov vectors
- Numerical test for hyperbolicity in chaotic systems with multiple time delays
- Chaos and hyperchaos via secondary Neimark-Sacker bifurcation in a model of radiophysical generator
- Statistical Dynamics Generated by Fluctuations of Local Lyapunov Exponents
- Violation of hyperbolicity via unstable dimension variability in a chain with local hyperbolic chaotic attractors
- Hyperbolic Chaos
- Lyapunov Exponents
- Periodic orbit analysis at the onset of the unstable dimension variability and at the blowout bifurcation
- HYPERCHAOTIC ATTRACTORS OF UNIDIRECTIONALLY-COUPLED CHUA’S CIRCUITS
- Hyperchaos and multistability in the model of two interacting microbubble contrast agents
- On the use of stabilizing transformations for detecting unstable periodic orbits in high-dimensional flows
- Efficient Detection of Periodic Orbits in Chaotic Systems by Stabilizing Transformations
- Differentiable dynamical systems
- Chaos-hyperchaos transition in coupled Rössler systems
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