Hyperchaos and multistability in the model of two interacting microbubble contrast agents

DOI10.1063/1.5098329zbMath1416.37069arXiv1903.03955OpenAlexW3105205768WikidataQ91559903 ScholiaQ91559903MaRDI QIDQ5227602

Alexey O. Kazakov, Ivan R. Garashchuk, Nikolay A. Kudryashov, Dmitry I. Sinelshchikov

Publication date: 6 August 2019

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.03955

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (12)

Scenarios for the creation of hyperchaotic attractors in 3D maps ⋮ Route to hyperbolic hyperchaos in a nonautonomous time-delay system ⋮ Merger of a Hénon-like attractor with a Hénon-like repeller in a model of vortex dynamics ⋮ Scenarios of hyperchaos occurrence in 4D Rössler system ⋮ Shilnikov attractors in three-dimensional orientation-reversing maps ⋮ Wild pseudohyperbolic attractor in a four-dimensional Lorenz system ⋮ Appearance of chaos and hyperchaos in evolving pendulum network ⋮ Lorenz- and Shilnikov-Shape Attractors in the Model of Two Coupled Parabola Maps ⋮ On discrete Lorenz-like attractors ⋮ Bubbling transition as a mechanism of destruction of synchronous oscillations of identical microbubble contrast agents ⋮ Cascade of torus birth bifurcations and inverse cascade of Shilnikov attractors merging at the threshold of hyperchaos ⋮ Asynchronous Chaos and Bifurcations in a Model of Two Coupled Identical Hindmarsh – Rose Neurons

Cites Work

• Unnamed Item
• Hidden attractors in dynamical systems
• An equation for hyperchaos
• Chaos-hyperchaos transition.
• A novel hyperchaos system only with one equilibrium
• Pseudohyperbolicity and the problem on periodic perturbations of Lorenz-type attractors
• Nonlinear dynamics and turbulence
• Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems; a method for computing all of them. I: Theory
• Variety of strange pseudohyperbolic attractors in three-dimensional generalized Hénon maps
• Chaos and hyperchaos in coupled antiphase driven Toda oscillators
• Nonlinear dynamics of a bubble contrast agent oscillating near an elastic wall
• On hyperchaos in a small memristive neural network
• Spiral chaos in the nonholonomic model of a Chaplygin top
• Doubling of Torus
• Bubble oscillations of large amplitude
• A variable order Runge-Kutta method for initial value problems with rapidly varying right-hand sides
• An example of a wild strange attractor
• Elements of Contemporary Theory of Dynamical Chaos: A Tutorial. Part I. Pseudohyperbolic Attractors
• Secondary Bjerknes forces between two bubbles and the phenomenon of acoustic streamers
• Richness of dynamics and global bifurcations in systems with a homoclinic figure-eight
• Applications of Acoustics and Cavitation to Noninvasive Therapy and Drug Delivery
• THREE-DIMENSIONAL HÉNON-LIKE MAPS AND WILD LORENZ-LIKE ATTRACTORS

This page was built for publication: Hyperchaos and multistability in the model of two interacting microbubble contrast agents