Global Invariant Manifolds of Dynamical Systems with the Compatible Cell Mapping Method
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Publication:5229132
DOI10.1142/S0218127419501050zbMath1422.37015OpenAlexW2966299158MaRDI QIDQ5229132
Yong Xu, Xiaole Yue, Wei Xu, Jian-Qiao Sun
Publication date: 14 August 2019
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218127419501050
Invariant manifold theory for dynamical systems (37D10) Computational methods for bifurcation problems in dynamical systems (37M20)
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Uses Software
Cites Work
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- Analysis of global properties for dynamical systems by a modified digraph cell mapping method
- First-passage time statistics in a bistable system subject to Poisson white noise by the generalized cell mapping method
- Cell mappings for multi-degree-of-freedom-systems--- parallel computing in nonlinear dynamics.
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- A subdivision algorithm for the computation of unstable manifolds and global attractors
- A new methodology for the analysis of periodic systems
- An adaptive method for the approximation of the generalized cell mapping
- Stochastic optimal control of nonlinear systems via short-time Gaussian approximation and cell mapping
- A method of point mapping under cell reference for global analysis of nonlinear dynamical systems
- Crises and chaotic transients studied by the generalized cell mapping digraph method
- Control of an adaptive refinement technique of generalized cell mapping by system dynamics
- Finding zeros of nonlinear functions using the hybrid parallel cell mapping method
- An efficient parallel implementation of cell mapping methods for MDOF systems
- Codimension two bifurcations of nonlinear systems driven by fuzzy noise
- First-passage time probability of non-linear stochastic systems by generalized cell mapping method
- A Cell Mapping Method for Nonlinear Deterministic and Stochastic Systems—Part I: The Method of Analysis
- Interpolated Cell Mapping of Dynamical Systems
- A Cell Mapping Method for Nonlinear Deterministic and Stochastic Systems—Part II: Examples of Application
- A Theory of Cell-to-Cell Mapping Dynamical Systems
- A Generalized Theory of Cell-to-Cell Mapping for Nonlinear Dynamical Systems
- GLOBAL ANALYSIS BY CELL MAPPING
- NUMERICAL ANALYSIS AND CONTROL OF BIFURCATION PROBLEMS (I): BIFURCATION IN FINITE DIMENSIONS
- NUMERICAL ANALYSIS AND CONTROL OF BIFURCATION PROBLEMS (II): BIFURCATION IN INFINITE DIMENSIONS
- GLOBAL ANALYSIS OF DYNAMICAL SYSTEMS USING POSETS AND DIGRAPHS
- Computing Geodesic Level Sets on Global (Un)stable Manifolds of Vector Fields
- Studying the Global Bifurcation Involving Wada Boundary Metamorphosis by a Method of Generalized Cell Mapping with Sampling-Adaptive Interpolation
- On the sighting of unicorns: A variational approach to computing invariant sets in dynamical systems
- A Fast Method for Approximating Invariant Manifolds
- A SURVEY OF METHODS FOR COMPUTING (UN)STABLE MANIFOLDS OF VECTOR FIELDS
- The Cell Mapping Method for Approximating the Invariant Manifolds
- Computing Invariant Manifolds by Integrating Fat Trajectories
- An adaptive subdivision technique for the approximation of attractors and invariant measures
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