LOCAL AND GLOBAL BIFURCATIONS IN THREE-DIMENSIONAL, CONTINUOUS, PIECEWISE SMOOTH MAPS
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Publication:3165787
DOI10.1142/S0218127411029318zbMath1248.37041OpenAlexW2060651243MaRDI QIDQ3165787
Partha Sharathi Dutta, Soumitro Banerjee, Akhil Ranjan Roy, Soma De
Publication date: 19 October 2012
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218127411029318
Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Local and nonlocal bifurcation theory for dynamical systems (37G99)
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Cites Work
- Torus destruction via global bifurcations in a piecewise-smooth, continuous map with square-root nonlinearity
- On a special type of border-collision bifurcations occurring at infinity
- Elements of applied bifurcation theory.
- Bifurcations in one-dimensional piecewise smooth maps-theory and applications in switching circuits
- Low-dimensional maps for piecewise smooth oscillators
- Some Methods for the Global Analysis of Closed Invariant Curves in Two-Dimensional Maps
- Center Bifurcation for a Two-Dimensional Piecewise Linear Map
- PIECEWISE CONSTANT SWITCHED DYNAMICAL SYSTEMS IN POWER ELECTRONICS
- BORDER COLLISION BIFURCATIONS IN THREE-DIMENSIONAL PIECEWISE SMOOTH SYSTEMS
- Border collision route to quasiperiodicity: Numerical investigation and experimental confirmation
- MULTIPLE-ATTRACTOR BIFURCATIONS AND QUASIPERIODICITY IN PIECEWISE-SMOOTH MAPS
- CENTER BIFURCATION FOR TWO-DIMENSIONAL BORDER-COLLISION NORMAL FORM
- The bandcount increment scenario. II. Interior structures
- Shrinking point bifurcations of resonance tongues for piecewise-smooth, continuous maps
- BIFURCATIONS OF ATTRACTING CYCLES FROM TIME-DELAYED CHUA’S CIRCUIT
- Torus birth bifurcations in a DC/DC converter
- BORDER COLLISION BIFURCATION CONTROL OF CARDIAC ALTERNANS
- DEGENERATE BIFURCATIONS AND BORDER COLLISIONS IN PIECEWISE SMOOTH 1D AND 2D MAPS
- The bandcount increment scenario. I. Basic structures
- Robust Chaos
- On detection of multi-band chaotic attractors
- BORDER-COLLISION BIFURCATIONS AND CHAOTIC OSCILLATIONS IN A PIECEWISE-SMOOTH DYNAMICAL SYSTEM
- Experimental study of impact oscillator with one-sided elastic constraint