Numerical test for hyperbolicity in chaotic systems with multiple time delays
From MaRDI portal
Publication:2205697
DOI10.1016/j.cnsns.2017.08.016OpenAlexW2746457970MaRDI QIDQ2205697
Sergey P. Kuznetsov, Pavel V. Kuptsov
Publication date: 21 October 2020
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1708.04435
Related Items (8)
Studying partial hyperbolicity inside regimes of motion in Hamiltonian systems ⋮ Studying finite-time (non)-domination in dynamical systems using Oseledec's splitting. Application to the standard map ⋮ Chaos and hyperchaos of geodesic flows on curved manifolds corresponding to mechanically coupled rotators: Examples and numerical study ⋮ Hyperbolic chaos in a system of two Froude pendulums with alternating periodic braking ⋮ Route to hyperbolic hyperchaos in a nonautonomous time-delay system ⋮ Hyperbolic chaos in systems based on Fitzhugh-Nagumo model neurons ⋮ Lyapunov analysis of strange pseudohyperbolic attractors: angles between tangent subspaces, local volume expansion and contraction ⋮ Robust Hyperbolic Chaos in Froude Pendulum with Delayed Feedback and Periodic Braking
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Hyperbolic chaos in self-oscillating systems based on mechanical triple linkage: testing absence of tangencies of stable and unstable manifolds for phase trajectories
- Verification of hyperbolicity for attractors of some mechanical systems with chaotic dynamics
- Parametric generation of robust chaos with time-delayed feedback and modulated pump source
- Hyperbolic attractor in a system of coupled non-autonomous van der Pol oscillators: numerical test for expanding and contracting cones
- Differential-difference equations
- Chaotic attractors of an infinite-dimensional dynamical system
- Studying hyperbolicity in chaotic systems
- Dimensions and entropies of strange attractors from a fluctuating dynamics approach
- Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems; a method for computing all of them. I: Theory
- High-dimensional chaos in delayed dynamical systems
- Introduction to the theory and application of differential equations with deviating arguments. Translated from the Russian by John L. Casti
- Lectures on partial hyperbolicity and stable ergodicity
- Theory and computation of covariant Lyapunov vectors
- A Numerical Approach to Ergodic Problem of Dissipative Dynamical Systems
- Uniformly Hyperbolic Attractor of the Smale–Williams Type for a Poincaré Map in the Kuznetsov System
- Hyperbolic Chaos
- How often are chaotic saddles nonhyperbolic?
- Lyapunov Exponents
- Oscillation and Chaos in Physiological Control Systems
- Differentiable dynamical systems
This page was built for publication: Numerical test for hyperbolicity in chaotic systems with multiple time delays
