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DEGENERATE BIFURCATIONS AND BORDER COLLISIONS IN PIECEWISE SMOOTH 1D AND 2D MAPS

International journal of bifurcation and chaos in applied sciences and engineering, 2010-07, Vol.20 (7), p.2045-2070

2010

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Revisiting Samuelson's models, linear and nonlinear, stability conditions and oscillating dynamics

Journal of economic structures, 2021-06, Vol.10 (1), p.1-15, Article 9

2021

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CENTER BIFURCATION FOR TWO-DIMENSIONAL BORDER-COLLISION NORMAL FORM

International journal of bifurcation and chaos in applied sciences and engineering, 2008-04, Vol.18 (4), p.1029-1050

2008

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Border collision bifurcations in a piecewise linear duopoly model

Journal of difference equations and applications, 2023-12, Vol.29 (9-12), p.1065-1093

2023

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Dynamics in the transition case invertible/non-invertible in a 2D Piecewise Linear Map

Chaos, solitons and fractals, 2020-08, Vol.137, p.109813, Article 109813

2020

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Bifurcations in a one-parameter family of Lotka-Volterra 2D transformations

Communications in nonlinear science & numerical simulation, 2021-09, Vol.100, p.105848, Article 105848

2021

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Bifurcation structure of parameter plane for a family of unimodal piecewise smooth maps: Border-collision bifurcation curves

Chaos, solitons and fractals, 2006-08, Vol.29 (3), p.756-770

2006

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The Lorenz model in discrete time

Journal of difference equations and applications, 2022-10, Vol.28 (10), p.1308-1333

2022

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Bifurcation Sequences and Multistability in a Two-Dimensional Piecewise Linear Map

International journal of bifurcation and chaos in applied sciences and engineering, 2020-05, Vol.30 (6), p.2030014

2020

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Milnor and Topological Attractors in a Family of Two-Dimensional Lotka–Volterra Maps

International journal of bifurcation and chaos in applied sciences and engineering, 2020-11, Vol.30 (14), p.2030040

2020

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Growing through chaos in the Matsuyama map via subcritical flip bifurcation and bistability

Chaos, solitons and fractals, 2019-07, Vol.124, p.52-67

2019

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Role of the Virtual Fixed Point in the Center Bifurcations in a Family of Piecewise Linear Maps

International journal of bifurcation and chaos in applied sciences and engineering, 2019-12, Vol.29 (14), p.1930041

2019

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Use of Chebyshev Polynomial Kalman Filter for pseudo-blind demodulation of CD3S signals

International Journal of Control, 2015, Automation, and Systems, 13(5), , pp.1193-1200

2015

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On the Solution of Local Fractional Differential Equations Using Local Fractional Laplace Variational Iteration Method

Mathematical problems in engineering, 2016-01, Vol.2016 (2016), p.1-6

2016

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Regular and chaotic growth in a Hicksian floor/ceiling model

Journal of economic behavior & organization, 2010-07, Vol.75 (1), p.77-94

2010

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Necessary and sufficient conditions of full chaos for expanding Baker-like maps and their use in non-expanding Lorenz maps

Communications in nonlinear science & numerical simulation, 2019-02, Vol.67, p.272-289

2019

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Hesitant Cloud Model and Its Application in the Risk Assessment of “The Twenty-First Century Maritime Silk Road”

Mathematical problems in engineering, 2016-01, Vol.2016 (2016), p.1-11

2016

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Preface: Special issue on nonlinear dynamical systems in economic modeling

Discrete and continuous dynamical systems. Series B, 2021-11, Vol.26 (11), p.i

2021

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Border collision bifurcations in a two-dimensional piecewise smooth map from a simple switching circuit

Chaos (Woodbury, N.Y.), 2011-06, Vol.21 (2), p.023106-023106-13

2011

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The Role of Constraints in a Segregation Model: The Asymmetric Case

Discrete Dynamics in Nature and Society, 2014-01, Vol.2014 (2014), p.514-530-149

2014

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Homoclinic tangles in a Kaldor-like business cycle model

Journal of economic behavior & organization, 2007-03, Vol.62 (3), p.324-347

2007

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Border collision bifurcations and chaotic sets in a two-dimensional piecewise linear map

Communications in nonlinear science & numerical simulation, 2011-02, Vol.16 (2), p.916-927

2011

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Comparison of Dual-Channel Supply Chain Structures: E-Commerce Platform as Different Roles

Mathematical problems in engineering, 2016-01, Vol.2016 (2016), p.1-10

2016

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Solving Fractional Dynamical System with Freeplay by Combining Memory-Free Approach and Precise Integration Method

Mathematical problems in engineering, 2016-01, Vol.2016 (2016), p.1-7

2016

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Foreword of the special issue: Nonlinear models and tools in economics, finance and social sciences

Communications in nonlinear science & numerical simulation, 2023-05, Vol.119, p.107078, Article 107078

2023

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DEGENERATE BIFURCATIONS AND BORDER COLLISIONS IN PIECEWISE SMOOTH 1D AND 2D MAPS

Revisiting Samuelson's models, linear and nonlinear, stability conditions and oscillating dynamics

CENTER BIFURCATION FOR TWO-DIMENSIONAL BORDER-COLLISION NORMAL FORM

Border collision bifurcations in a piecewise linear duopoly model

Dynamics in the transition case invertible/non-invertible in a 2D Piecewise Linear Map

Bifurcations in a one-parameter family of Lotka-Volterra 2D transformations

Bifurcation structure of parameter plane for a family of unimodal piecewise smooth maps: Border-collision bifurcation curves

The Lorenz model in discrete time

Bifurcation Sequences and Multistability in a Two-Dimensional Piecewise Linear Map

Milnor and Topological Attractors in a Family of Two-Dimensional Lotka–Volterra Maps

Growing through chaos in the Matsuyama map via subcritical flip bifurcation and bistability

Role of the Virtual Fixed Point in the Center Bifurcations in a Family of Piecewise Linear Maps

Use of Chebyshev Polynomial Kalman Filter for pseudo-blind demodulation of CD3S signals

On the Solution of Local Fractional Differential Equations Using Local Fractional Laplace Variational Iteration Method

Regular and chaotic growth in a Hicksian floor/ceiling model

Necessary and sufficient conditions of full chaos for expanding Baker-like maps and their use in non-expanding Lorenz maps

Hesitant Cloud Model and Its Application in the Risk Assessment of “The Twenty-First Century Maritime Silk Road”

Preface: Special issue on nonlinear dynamical systems in economic modeling

Border collision bifurcations in a two-dimensional piecewise smooth map from a simple switching circuit

The Role of Constraints in a Segregation Model: The Asymmetric Case

Homoclinic tangles in a Kaldor-like business cycle model

Border collision bifurcations and chaotic sets in a two-dimensional piecewise linear map

Comparison of Dual-Channel Supply Chain Structures: E-Commerce Platform as Different Roles

Solving Fractional Dynamical System with Freeplay by Combining Memory-Free Approach and Precise Integration Method

Foreword of the special issue: Nonlinear models and tools in economics, finance and social sciences

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