Bifurcations in two-dimensional piecewise smooth maps-theory and applications in switching circuits
From MaRDI portal
Publication:2723875
DOI10.1109/81.847870zbMath1050.37511OpenAlexW2127666064MaRDI QIDQ2723875
Priya Ranjan, Soumitro Banerjee, Celso Grebogi
Publication date: 8 July 2001
Published in: IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/1288d0a41450dc6b8c144a255ccfbcd0093752e5
Dynamical systems involving maps of the circle (37E10) Bifurcations of singular points in dynamical systems (37G10) Analytic circuit theory (94C05) Applications of dynamical systems (37N99)
Related Items
Border collision bifurcations in 3D piecewise smooth chaotic circuit ⋮ Bifurcation analysis of attitude control systems with switching-constrained actuators ⋮ Bifurcation analysis of a pulse-width control system ⋮ On the existence of low-period orbits in \(n\)-dimensional piecewise linear discontinuous maps ⋮ Noise-induced and border-collision-induced bubbling ⋮ Lyapunov and LMI analysis and feedback control of border collision bifurcations ⋮ Poincaré maps modeling and local orbital stability analysis of discontinuous piecewise affine periodically driven systems ⋮ Autoresonant homeostat concept for engineering application of nonlinear vibration modes ⋮ Multistability analysis and function projective synchronization in relay coupled oscillators ⋮ Border Collision Bifurcations and Chaos in a Ring of Three Unidirectionally Coupled Nonmonotonic Piecewise Constant Neurons ⋮ Bifurcation analysis of a dynamic duopoly model with heterogeneous costs and behavioural rules ⋮ Multistability in the cyclic competition system ⋮ Bandcount adding structure and collapse of chaotic attractors in a piecewise linear bimodal map ⋮ BIFURCATION ANALYSIS OF AN IMPACT MODEL FOR FOREST FIRE PREDICTION ⋮ Quasiperiodicity and torus breakdown in a power electronic dc/dc converter ⋮ Numerical bifurcation analysis framework for autonomous piecewise-smooth dynamical systems ⋮ Analysis of stable periodic orbits in the one dimensional linear piecewise-smooth discontinuous map ⋮ Bifurcation of Quasiperiodic Orbit in a 3D Piecewise Linear Map ⋮ The inherent law of the unpredictability of financial asset price fluctuations: multistability and chaos ⋮ GENERAL CONSIDERATION FOR MODELING AND BIFURCATION ANALYSIS OF SWITCHED DYNAMICAL SYSTEMS ⋮ Coexisting tori and torus bubbling in non-smooth systems ⋮ Singularities in soft-impacting systems ⋮ A family of multimodal dynamic maps ⋮ Bifurcations of non-smooth systems ⋮ Theoretical and experimental investigation of bidirectional Hopf bifurcations in cascade DC-DC buck converters ⋮ Dangerous Bifurcations Revisited ⋮ Direct transition from a stable equilibrium to quasiperiodicity in non-smooth systems ⋮ On the price dynamics of a two-dimensional financial market model with entry levels ⋮ Occurrence of multiple attractor bifurcations in the two-dimensional piecewise linear normal form map ⋮ Event detection occurrence for planar piece-wise affine hybrid systems ⋮ Border collision route to quasiperiodicity: Numerical investigation and experimental confirmation ⋮ A nonlinear duopoly with efficient production-capacity levels ⋮ MULTIPLE-ATTRACTOR BIFURCATIONS AND QUASIPERIODICITY IN PIECEWISE-SMOOTH MAPS ⋮ CENTER BIFURCATION FOR TWO-DIMENSIONAL BORDER-COLLISION NORMAL FORM ⋮ Border-collision bifurcations in a model of Braess paradox ⋮ Asymptotic dynamics of a piecewise smooth map modelling a competitive market ⋮ Existence of chaos in a piecewise smooth two-dimensional contractive map ⋮ Border collision bifurcations at the change of state-space dimension ⋮ A computation method for non-autonomous systems with discontinuous characteristics ⋮ Study of a class of hybrid-time systems ⋮ Stability and stabilization of switched linear time-invariant systems with saddle points and switching delays ⋮ EQUIVALENT CNN CELL MODELS AND PATTERNS ⋮ BORDER-COLLISION BIFURCATIONS IN ONE-DIMENSIONAL DISCONTINUOUS MAPS ⋮ Fractal principles of multidimensional data structurization for real-time pulse system dynamics forecasting and identification ⋮ TWO-DIMENSIONAL BIFURCATION DIAGRAMS: BACKGROUND PATTERN OF FUNDAMENTAL DC–DC CONVERTERS WITH PWM CONTROL ⋮ DEGENERATE BIFURCATIONS AND BORDER COLLISIONS IN PIECEWISE SMOOTH 1D AND 2D MAPS ⋮ Fractal regularities of sub-harmonic motions perspective for pulse dynamics monitoring ⋮ On-line identification of multidimensional parametric vector random variation of pulse system ⋮ Cournot duopoly when the competitors operate multiple production plants ⋮ Border collision bifurcations and chaotic sets in a two-dimensional piecewise linear map ⋮ Multiple Attractor Bifurcation in Three-Dimensional Piecewise Linear Maps ⋮ BORDER-COLLISION BIFURCATIONS IN 1D PIECEWISE-LINEAR MAPS AND LEONOV'S APPROACH ⋮ Border-Collision Bifurcations in $\mathbb{R}^N$ ⋮ On the modelling of DC-DC converters: An enhanced approach ⋮ On torus birth bifurcations in the pulse-width system ⋮ Existence of homoclinic orbits and heteroclinic cycle in a class of three-dimensional piecewise linear systems with three switching manifolds ⋮ BIFURCATIONS IN DC–DC SWITCHING CONVERTERS: REVIEW OF METHODS AND APPLICATIONS ⋮ Local and global bifurcations in 3D piecewise smooth discontinuous maps ⋮ MODIFIED BIFURCATION DIAGRAMS IN AN APPROACH TO ONLINE PULSE SYSTEM DYNAMICS FORECASTING ⋮ Periodic Cycles and Bifurcation Curves for One-Dimensional Maps with Two Discontinuities ⋮ Impulsivity in binary choices and the emergence of periodicity ⋮ PERIOD ADDING IN PIECEWISE LINEAR MAPS WITH TWO DISCONTINUITIES ⋮ Invariant Measures for the n-Dimensional Border Collision Normal Form ⋮ UNFOLDING NONSMOOTH BIFURCATION PATTERNS IN A 1-D PWL MAP AS A MODEL OF A SINGLE-INDUCTOR TWO-OUTPUT DC–DC SWITCHING CONVERTER ⋮ Multistability Regions and Related Basins of Multiattractors in Piecewise Linear Discontinuous Map from Financial Markets ⋮ Bifurcation phenomena in two-dimensional piecewise smooth discontinuous maps ⋮ Bifurcations and Chaos for 2D Discontinuous Dynamical Model of Financial Markets ⋮ Border collision bifurcations in a two-dimensional piecewise smooth map from a simple switching circuit
Uses Software
