Managing chaos: Thinking out of the box

Hübler, Alfred; Foster, Glenn; Phelps, Kirstin C.

doi:10.1002/cplx.20159

Cited by 11 publications

(6 citation statements)

References 4 publications

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“…Chaos theory is also helpful in understanding how energy flow in both internal and external domains interacts with the subtle yet decisive influence of feedback (Hübler et al., ). Hong Kong's established professional practice, under chaos theory, represents this education system's current sense of equilibrium.…”

Section: Discussionmentioning

confidence: 99%

“…The concept of bifurcation comes from mathematics and refers to the causal point where two near‐identical entities take two very distinct paths. This concept of bifurcation explains in nature, the infinite variations found in snowflakes; while in education, the concept of bifurcation explains why it is impossible to predict the long‐term effects of educational change (Glickman et al., ), and why education reforms, such as integrated arts curricula, impact different schools and individual teachers in different ways (Hübler, Foster, & Phelps, ).…”

Section: Introductionmentioning

confidence: 99%

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Developing Integrated Arts Curriculum in Hong Kong: Chaos Theory at Work?

Wong

2013

Curriculum Inquiry

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This article reports the development of integrated arts curriculum in two Hong Kong secondary schools over a 9-year period. Initial findings display a range of individual responses to educational change that are both non-predictable and non-linear. Chaos theory is used to explain these varied responses in terms of bifurcations. The findings of this study are presented as a narrative that posits a developmental model comprising personal and external domains being informed by contextual feedback. Personal domains refer to the teachers' education, their teaching experience and their motivational energies to improve their professional status quo. External domains refer to such contextual influences as educational policies, students, colleagues and school administration. Bifurcation explains why integrated arts curriculums impact different schools and individuals in different ways. Four factors are identified to have contributed to the failure or success of integrated arts curriculum: (1) school management support, (2) individual teachers' specialized knowledge, (3) feedback that regenerates and redefines curriculum design, and (4) teacher autonomy and professional growth. A conclusion is drawn that questions the final form of Hong Kong integrated arts curriculum which retains the non-integrated features of subject specialisation and individual teaching rather than co-teaching. bs_bs_banner

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Developing Integrated Arts Curriculum in Hong Kong: Chaos Theory at Work?

Wong

2013

Curriculum Inquiry

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“…It is the confidence in the underlying solidity of social institutions and the legitimacy of political institutions that constitutes the financial system's underlying strength and the absence of such trust that causes polities that suffer deep social divides to have underdeveloped financial systems. Institutions that 19 Also see other works (Hubler et al 2007) and (Foster, Hubler, and Dahmen 2007). 20 Aarón Tornell reports that countries that embrace innovation grow fastest but are also more likely to experience a financial crisis.…”

Section: The Policy Conundrummentioning

confidence: 99%

“…The next generation of regulators must target the system's most enduring characteristic and conundrum: its proclivity toward periodic, difficult-to-predict avalanches that result from its internal dynamics. We know this much already: that as a complex system, the financial system is sensitive to catastrophic failures from tiny causes (Hubler, Foster, and Phelps 2007). 19 Regulators must learn to ask what characterizes these avalanches.…”

Section: The Policy Conundrummentioning

confidence: 99%

The Policy Conundrum of Financial Market Complexity

Root¹

2012

Research Handbook on International Banking and Governance

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The first global financial sector crash eludes conventional assessments of sector risk. Singling out the usual culprits-the housing bubble, executive pay, regulators, rating agencies, risk models, and global imbalances-fails to explain either the unpredictability or the rapidity of the collapse of 2008, which in many ways resembled the avalanche of a sand pile, where at some point of criticality, avalanches occur that bear no relationship to the grain of sand that triggered them. Since appropriate financial regulation is part of the remedy, policymakers should recognize that success will depend on a more refined knowledge of why some initial events may have prompted an avalanche, while others did not.

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“…I n the field of nonlinear system, various nonlinear systems such as chaos system, complex system and so on have been individually studied [1][2][3][4]. During the last few years, however, many researchers try to investigate the system which networked individual linear or nonlinear systems.…”

Section: Introductionmentioning

confidence: 99%

Leader‐following consensus problem of heterogeneous multi‐agent systems with nonlinear dynamics using fuzzy disturbance observer

Lee

Park

et al. 2013

Complexity

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This article considers the leader-following consensus problem of heterogeneous multi-agent systems. The proposed multi-agent system is consisted of heterogeneous agents where each agents have their own nonlinear dynamic behavior. To overcome difficulty from heterogeneous nonlinear intrinsic dynamics of agents, a fuzzy disturbance observer is adopted. In addition, based on the Lyapunov stability theory, an adaptive control method is used to compensate the observation error caused by the difference between the unknown factor and estimated values. Two numerical examples are given to illustrate the effectiveness of the proposed method.

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Managing chaos: Thinking out of the box

Cited by 11 publications

References 4 publications

Developing Integrated Arts Curriculum in Hong Kong: Chaos Theory at Work?

Developing Integrated Arts Curriculum in Hong Kong: Chaos Theory at Work?

The Policy Conundrum of Financial Market Complexity

Leader‐following consensus problem of heterogeneous multi‐agent systems with nonlinear dynamics using fuzzy disturbance observer

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