HYPERBOLIC-LIKE PROPERTIES OF POPP'S ATTRACTOR

DOI10.1142/S0218127412501878zbMath1258.70026OpenAlexW2138078451MaRDI QIDQ4907014

Andrzej Stefanski, Agnieszka Chudzik, Tomasz Kapitaniak, Jerzy Wojewoda

Publication date: 1 March 2013

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127412501878

zbMATH Keywords

chaotic dynamicshyperbolic attractorsstick-slip oscillations

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Problems involving a system of particles with friction (70F40) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28) Attractors of solutions to ordinary differential equations (34D45)

Cites Work

• Unnamed Item
• Hyperbolic attractor in a system of coupled non-autonomous van der Pol oscillators: numerical test for expanding and contracting cones
• Studying hyperbolicity in chaotic systems
• A two-dimensional mapping with a strange attractor
• Estimation of the dominant Lyapunov exponent of non-smooth systems on the basis of maps synchronization.
• Estimation of the largest Lyapunov exponent in systems with impacts
• Complex behaviour of a quasiperiodically forced experimental system with dry friction
• Bifurcation and stability analysis for a non-smooth friction oscillator
• How often are chaotic saddles nonhyperbolic?
• Stick-slip vibrations and chaos
• A Note on the Switch Function for the Stick-Slip Phenomenon
• Anosov parameter values for the triple linkage and a physical system with a uniformly chaotic attractor
• Ergodic theory of chaos and strange attractors
• Deterministic Nonperiodic Flow
• HYPERBOLIC PLYKIN ATTRACTOR CAN EXIST IN NEURON MODELS
• Differentiable dynamical systems