Butterflies, fractals and psychiatry

Abstract In this paper, we aim at an exercise that is transdisciplinary, involving science and religion, and interdisciplinary, involving disciplines and theories which appeared in the second half of the 20th century (e.g., topology, chaos theory, fractal geometry, non-linear dynamics, all of which can be found in the theory of complex systems). The latter required the reformulation of quantum mechanics theories starting with the beginning of the century, based on the substance-energy-information triangle. We focus on information and we also attempt a transdisciplinary approach to the imaginary from a psychological - physical - mathematical perspective, but the religious perspectives find their place along with the philosophical or even philological vision

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Low pressure hydrocephalus and ventriculomegaly: hysteresis, non-linear dynamics, and the benefits of CSF diversion

British Journal of Neurosurgery ◽

10.3109/02688690209168360 ◽

2002 ◽

Vol 16 (6) ◽

pp. 555-561 ◽

Cited By ~ 12

Author(s):

M. S. Lesniak ◽

R. E. Clatterbuck ◽

D. Rigamonti ◽

M. A. Williams

Keyword(s):

Low Pressure ◽

Linear Dynamics ◽

Non Linear ◽

Csf Diversion

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Forecasting Cnx-500 Index: Using Non-Linear Dynamics Threshold Model

SSRN Electronic Journal ◽

10.2139/ssrn.2618428 ◽

2015 ◽

Author(s):

Nishant Vats ◽

Rudra Prakash Pradhan

Keyword(s):

Threshold Model ◽

Linear Dynamics ◽

Non Linear

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Non-linear dynamics in DIS at NLO

10.22323/1.297.0066 ◽

2017 ◽

Author(s):

Giovanni Antonio Chirilli

Keyword(s):

Linear Dynamics ◽

Non Linear

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Non-Linear Dynamics and Endogenous Cycles

10.1007/978-3-642-58901-0 ◽

1998 ◽

Cited By ~ 1

Keyword(s):

Linear Dynamics ◽

Endogenous Cycles ◽

Non Linear

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A novel LSSVM-L Hammerstein model structure for system identification and nonlinear model predictive control of CSTR servo and regulatory control

Chemical Product and Process Modeling ◽

10.1515/cppm-2021-0020 ◽

2021 ◽

Vol 0 (0) ◽

Author(s):

Akshaykumar Naregalkar ◽

Subbulekshmi Durairaj

Keyword(s):

Linear System ◽

Regulatory Control ◽

Hammerstein Model ◽

Support Vector ◽

Model Structure ◽

Linear Dynamics ◽

Vector Machines ◽

Non Linear ◽

Laguerre Filters ◽

Non Linear System

Abstract A continuous stirred tank reactor (CSTR) servo and the regulatory control problem are challenging because of their highly non-linear nature, frequent changes in operating points, and frequent disturbances. System identification is one of the important steps in the CSTR model-based control design. In earlier work, a non-linear system model comprises a linear subsystem followed by static nonlinearities and represented with Laguerre filters followed by the LSSVM (least squares support vector machines). This model structure solves linear dynamics first and then associated nonlinearities. Unlike earlier works, the proposed LSSVM-L (least squares support vector machines and Laguerre filters) Hammerstein model structure solves the nonlinearities associated with the non-linear system first and then linear dynamics. Thus, the proposed Hammerstein’s model structure deals with the nonlinearities before affecting the entire system, decreasing the model complexity and providing a simple model structure. This new Hammerstein model is stable, precise, and simple to implement and provides the CSTR model with a good model fit%. Simulation studies illustrate the benefit and effectiveness of the proposed LSSVM-L Hammerstein model and its efficacy as a non-linear model predictive controller for the servo and regulatory control problem.

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