Attractor merging crisis in chaotic business cycles

Chian, Abraham C.‐L.; Borotto, F. A.; Rempel, Erico L.; Rogers, Colin

doi:10.1016/j.chaos.2004.09.080

Cited by 84 publications

(32 citation statements)

References 10 publications

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“…Mansfeld's (1999) historical review suggests that one method for coping with crisis is by using extensive marketing. Other studies have sought to improve theoretical models (i.e., the ability) to forecast sudden major changes in economic systems and business cycles that could potentially lead to crisis situations (Chian, Borotto, Rempel, & Rogers, 2005;Puu, 1991 The results indicated that crisis planning received little attention, and a major concern for crises was generated only after experiencing crisis events. This finding was also supported by Spillan and Hough (2003) in their research about crisis planning, which found that even those businesses that had previously experienced crises did not have crisis management teams.…”

Section: Literature Reviewmentioning

confidence: 96%

Operational crisis management techniques in the catering industry in times of recession: The case of the Municipality of Piran

Kukanja

Planinc

2013

OurEconomy

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Section: Literature Reviewmentioning

confidence: 96%

Operational crisis management techniques in the catering industry in times of recession: The case of the Municipality of Piran

Kukanja

Planinc

2013

OurEconomy

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“…V we show that noise can induce intermittent behavior similar to the intermittency observed after an attractor merging crisis. [18][19][20] The conclusions are given in Sec. VI.…”

Section: Introductionmentioning

confidence: 99%

Alfvén multistability: Transient and intermittent dynamics induced by noise

Rempel¹,

Santana

Chian

2006

Physics of Plasmas

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The effects of noise in the dynamics of Alfvén waves described by the derivative nonlinear Schrödinger equation are investigated. In a complex region of the parameter space, where multistability is observed, an external stochastic source can effectively destroy attractors present in the noise-free system, as well as induce chaotic transients and extrinsic intermittency. In the intermittent regime, the Alfvén wave exhibits random qualitative changes in its behavior as a result of a competition between three attractors and a chaotic saddle embedded in the fractal basin boundary.

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“…In recent years, study on chaos is one of the most interesting research topics in real and physical systems [1][2][3][4]. In 1985, chaotic behavior was discovered in financial systems [5].…”

Section: Introductionmentioning

confidence: 99%

Modified Function Projective Synchronization for a Partially Linear and Fractional-Order Financial Chaotic System with Uncertain Parameters

Yang

Cao

2017

Discrete Dynamics in Nature and Society

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This paper investigates the modified function projective synchronization between fractional-order chaotic systems, which are partially linear financial systems with uncertain parameters. Based on the stability theory of fractional-order systems and the Lyapunov matrix equation, a controller is obtained for the synchronization between fractional-order financial chaotic systems. Using the controller, the error systems converged to zero as time tends to infinity, and the uncertain parameters were also estimated so that the phenomenon of parameter distortion was effectively avoided. Numerical simulations demonstrate the validity and feasibility of the proposed method.

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Attractor merging crisis in chaotic business cycles

Cited by 84 publications

References 10 publications

Operational crisis management techniques in the catering industry in times of recession: The case of the Municipality of Piran

Operational crisis management techniques in the catering industry in times of recession: The case of the Municipality of Piran

Alfvén multistability: Transient and intermittent dynamics induced by noise

Modified Function Projective Synchronization for a Partially Linear and Fractional-Order Financial Chaotic System with Uncertain Parameters

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