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Bifurcations in Nonsmooth Dynamical Systems

SIAM review, 2008, Vol.50 (4), p.629-701

2008

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Generalized model for steady-state bifurcations without parameters in memristor-based oscillators with lines of equilibria

Nonlinear dynamics, 2023, Vol.111 (2), p.1235-1243

2023

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Biological experimental demonstration of bifurcations from bursting to spiking predicted by theoretical models

Nonlinear dynamics, 2014-10, Vol.78 (1), p.391-407

2014

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Self-sustained dynamics by modeling competing PHA-producers and non-PHA-producers bacteria population for a limited resource: local and homoclinic bifurcation analysis

Nonlinear dynamics, 2024-06, Vol.112 (11), p.9673-9701

2024

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Codimension-one and -two bifurcation analysis of a discrete-time prey-predator model

International journal of dynamics and control, 2023-12, Vol.11 (6), p.2691-2705

2023

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A novel stochastic bifurcation and its discrimination

Communications in nonlinear science & numerical simulation, 2022-07, Vol.110, p.106364, Article 106364

2022

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The focus case of a nonsmooth Rayleigh–Duffing oscillator

Nonlinear dynamics, 2022, Vol.107 (1), p.269-311

2022

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The heteroclinic and codimension-4 bifurcations of a triple SD oscillator

Nonlinear dynamics, 2024-04, Vol.112 (7), p.5053-5075

2024

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Dynamical analysis and simulation of a 2-dimensional disease model with convex incidence

Communications in nonlinear science & numerical simulation, 2016-08, Vol.37, p.163-192

2016

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Predicting saddle-node bifurcations using transient dynamics: a model-free approach

Nonlinear dynamics, 2023-11, Vol.111 (22), p.20579-20596

Habib, Giuseppe

2023

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Modulated Oscillations of Synchronous Machine Nonlinear Dynamics With Saturation

IEEE transactions on power systems, 2020-07, Vol.35 (4), p.2915-2925

2020

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Non-observable chaos in piecewise smooth systems

Nonlinear dynamics, 2020-02, Vol.99 (3), p.2031-2048

2020

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Discontinuity-induced bifurcations in a piecewise-smooth capsule system with bidirectional drifts

Communications in nonlinear science & numerical simulation, 2021-11, Vol.102, p.105909, Article 105909

2021

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Fundamental competition of smooth and non-smooth bifurcations and their ghosts in vibro-impact pairs

Nonlinear dynamics, 2023-04, Vol.111 (7), p.6129-6155

2023

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Carryover of a Saddle-Node Bifurcation After Transforming a Parameter into a Variable

Journal of dynamics and differential equations, 2024-03, Vol.36 (1), p.93-115

2024

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Hopf Bifurcation Control of Power Systems Nonlinear Dynamics Via a Dynamic State Feedback Controller—Part II: Performance Evaluation

IEEE transactions on power systems, 2017-07, Vol.32 (4), p.3229-3236

2017

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IEEE_Xplore

Nonlinear dynamics of the quasi-zero-stiffness SD oscillator based upon the local and global bifurcation analyses

Nonlinear dynamics, 2017, Vol.87 (2), p.987-1014

2017

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Occurrence of mixed-mode oscillations in a system consisting of a Van der Pol system and a Duffing oscillator with two potential wells

Nonlinear dynamics, 2024-04, Vol.112 (8), p.5997-6013

2024

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Singular Bautin bifurcation analysis of a slow–fast predator–prey system

Nonlinear dynamics, 2024-05, Vol.112 (9), p.7695-7713

2024

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The distinct stochastic and deterministic dynamics between period-adding and period-doubling bifurcations of neural bursting patterns

Nonlinear dynamics, 2017-03, Vol.87 (4), p.2541-2562

2017

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Bifurcation analysis of wheel shimmy with non-smooth effects and time delay in the tyre–ground contact

Nonlinear dynamics, 2019-10, Vol.98 (1), p.841-858

2019

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Bifurcations and chaos in passive dynamic walking: A review

Robotics and autonomous systems, 2014-06, Vol.62 (6), p.889-909

2014

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Hopf Bifurcation Control of Power System Nonlinear Dynamics via a Dynamic State Feedback Controller–Part I: Theory and Modeling

IEEE transactions on power systems, 2017-07, Vol.32 (4), p.3217-3228

2017

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IEEE_Xplore

A mathematical framework for critical transitions: Bifurcations, fast–slow systems and stochastic dynamics

Physica. D, 2011-06, Vol.240 (12), p.1020-1035

Kuehn, Christian

2011

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Bifurcation analysis and chaos in a discrete reduced Lorenz system

Applied mathematics and computation, 2014-02, Vol.228, p.184-194

2014

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Bifurcations in Nonsmooth Dynamical Systems

Generalized model for steady-state bifurcations without parameters in memristor-based oscillators with lines of equilibria

Biological experimental demonstration of bifurcations from bursting to spiking predicted by theoretical models

Self-sustained dynamics by modeling competing PHA-producers and non-PHA-producers bacteria population for a limited resource: local and homoclinic bifurcation analysis

Codimension-one and -two bifurcation analysis of a discrete-time prey-predator model

A novel stochastic bifurcation and its discrimination

The focus case of a nonsmooth Rayleigh–Duffing oscillator

The heteroclinic and codimension-4 bifurcations of a triple SD oscillator

Dynamical analysis and simulation of a 2-dimensional disease model with convex incidence

Predicting saddle-node bifurcations using transient dynamics: a model-free approach

Modulated Oscillations of Synchronous Machine Nonlinear Dynamics With Saturation

Non-observable chaos in piecewise smooth systems

Discontinuity-induced bifurcations in a piecewise-smooth capsule system with bidirectional drifts

Fundamental competition of smooth and non-smooth bifurcations and their ghosts in vibro-impact pairs

Carryover of a Saddle-Node Bifurcation After Transforming a Parameter into a Variable

Hopf Bifurcation Control of Power Systems Nonlinear Dynamics Via a Dynamic State Feedback Controller—Part II: Performance Evaluation

Nonlinear dynamics of the quasi-zero-stiffness SD oscillator based upon the local and global bifurcation analyses

Occurrence of mixed-mode oscillations in a system consisting of a Van der Pol system and a Duffing oscillator with two potential wells

Singular Bautin bifurcation analysis of a slow–fast predator–prey system

The distinct stochastic and deterministic dynamics between period-adding and period-doubling bifurcations of neural bursting patterns

Bifurcation analysis of wheel shimmy with non-smooth effects and time delay in the tyre–ground contact

Bifurcations and chaos in passive dynamic walking: A review

Hopf Bifurcation Control of Power System Nonlinear Dynamics via a Dynamic State Feedback Controller–Part I: Theory and Modeling

A mathematical framework for critical transitions: Bifurcations, fast–slow systems and stochastic dynamics

Bifurcation analysis and chaos in a discrete reduced Lorenz system

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