Unbounded dynamics in dissipative flows: Rössler model

DOI10.1063/1.4871712zbMath1345.37031OpenAlexW1986890893WikidataQ51587521 ScholiaQ51587521MaRDI QIDQ2821578

Roberto Barrio, Sergio E. Serrano, Fernando Blesa

Publication date: 21 September 2016

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

Full work available at URL: http://zaguan.unizar.es/record/57942

Mathematics Subject Classification ID

Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (8)

Unbounded dynamics and compact invariant sets of one Hamiltonian system defined by the minimally coupled field ⋮ Periodic orbits and 10 cases of unbounded dynamics for one Hamiltonian system defined by the conformally coupled field ⋮ Dynamics investigation and chaos-based application of a novel no-equilibrium system with coexisting hidden attractors ⋮ Takens-Bogdanov bifurcations of equilibria and periodic orbits in the Lorenz system ⋮ On bounded and unbounded dynamics of the Hamiltonian system for unified scalar field cosmology ⋮ Fractal structures in centrifugal flywheel governor system ⋮ An exact homoclinic orbit and its connection with the Rössler system ⋮ The ``hidden dynamics of the Rössler attractor

Uses Software

• AUTO2000

Cites Work

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• A global qualitative view of bifurcations and dynamics in the Rössler system
• A two-dimensional mapping with a strange attractor
• On the abundance of aperiodic behaviour for maps on the interval
• Bifurcation set in a system with homoclinic saddle curve
• Geometric singular perturbation theory for ordinary differential equations
• Asymptotic analysis of two reduction methods for systems of chemical reactions
• Optimal escape from potential wells -- patterns of regular and chaotic bifurcation
• Qualitative analysis of the Rössler equations: bifurcations of limit cycles and chaotic attractors
• An equation for continuous chaos
• Sensitivity tools vs. Poincaré sections
• Transient chaos. Complex dynamics in finite-time scales
• PAINTING CHAOS: A GALLERY OF SENSITIVITY PLOTS OF CLASSICAL PROBLEMS
• CHARACTERIZATION OF THE RÖSSLER SYSTEM IN PARAMETER SPACE
• NUMERICAL DETECTION AND CONTINUATION OF CODIMENSION-TWO HOMOCLINIC BIFURCATIONS
• The Forced van der Pol Equation I: The Slow Flow and Its Bifurcations
• Crises, sudden changes in chaotic attractors, and transient chaos
• SLOW INVARIANT MANIFOLDS AS CURVATURE OF THE FLOW OF DYNAMICAL SYSTEMS
• Chaotic Dynamics
• Elements of applied bifurcation theory

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