Results 11 to 20 of about 169 (74)
Complexity, Volume 2021, Issue 1, 2021., 2021 In this paper, a discrete‐time dynamic duopoly model, with nonlinear demand and cost functions, is established. The properties of existence and local stability of equilibrium points have been verified and analyzed. The stability conditions are also given with the help of the Jury criterion.
Hui Li, Wei Zhou, Tong Chu, Baogui Xin
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Complexity, Volume 2020, Issue 1, 2020., 2020 This paper concerns a discrete wild and sterile mosquito model with a proportional release rate of sterile mosquitoes. It is shown that the discrete model undergoes codimension‐2 bifurcations with 1 : 2, 1 : 3, and 1 : 4 strong resonances by applying the bifurcation theory.
Qiaoling Chen +4 more
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On the Price Dynamics of a Two‐Dimensional Financial Market Model with Entry Levels
Complexity, Volume 2020, Issue 1, 2020., 2020 This paper aims to extend the model developed by Tramontana et al. By adding trend followers who pay attention to the most recent observed price trend, we formulate a financial market model driven by a new two‐dimensional discontinuous piecewise linear (PWL) map with three branches.
En-Guo Gu, Átila Bueno
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Finding first foliation tangencies in the Lorenz system [PDF]
, 2017 This is the final version of the article. Available from SIAM via the DOI in this record.Classical studies of chaos in the well-known Lorenz system are based on reduction to the one-dimensional Lorenz map, which captures the full behavior of the ...
Creaser, JL, Krauskopf, B, Osinga, HM
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Homoclinic organization in the Hindmarsh-Rose model: A three parameter study [PDF]
, 2020 Bursting phenomena are found in a wide variety of fast-slow systems. In this article, we consider the Hindmarsh-Rose neuron model, where, as it is known in the literature, there are homoclinic bifurcations involved in the bursting dynamics.
Barrio, Roberto +2 more
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Order in chaos: Structure of chaotic invariant sets of square-wave neuron models [PDF]
, 2021 Bursting phenomena and, in particular, square-wave or fold/hom bursting, are found in a wide variety of mathematical neuron models. These systems have different behavior regimes depending on the parameters, whether spiking, bursting, or chaotic. We study
Barrio, Roberto +2 more
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Awakened Oscillations in Coupled Consumer‐Resource Pairs
Journal of Applied Mathematics, Volume 2014, Issue 1, 2014., 2014 The paper concerns two interacting consumer‐resource pairs based on chemostat‐like equations under the assumption that the dynamics of the resource is considerably slower than that of the consumer. The presence of two different time scales enables to carry out a fairly complete analysis of the problem.
Almaz Mustafin, Qingdu Li
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Complex Dynamics in Dedicated / Multifunctional Neural Networks and Chaotic Nonlinear Systems [PDF]
, 2020 We study complex behaviors arising in neuroscience and other nonlinear systems by combining dynamical systems analysis with modern computational approaches including GPU parallelization and unsupervised machine learning.
Pusuluri, Krishna
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Death of period-doublings:locating the homoclinic-doubling cascade [PDF]
, 2000 This paper studies a natural mechanism, called a homoclinic-doubling cascade, for the disappearance of period-doubling cascades in vector fields. Simply put, an entire period-doubling cascade collides with a saddle-type equilibrium.
Champneys, Alan R +2 more
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The Twisting Bifurcations of Double Homoclinic Loops with Resonant Eigenvalues
Abstract and Applied Analysis, Volume 2013, Issue 1, 2013., 2013 The twisting bifurcations of double homoclinic loops with resonant eigenvalues are investigated in four‐dimensional systems. The coexistence or noncoexistence of large 1‐homoclinic orbit and large 1‐periodic orbit near double homoclinic loops is given. The existence or nonexistence of saddle‐node bifurcation surfaces is obtained.
Xiaodong Li +4 more
wiley +1 more source