The role of potential symmetry and shape of a nonlinear oscillator in the bifurcation hierarchy for harmonic action

I discuss the role of symmetry breaking in a philosophical context, and formulate laws of symmetry breaking. I deal with their conceptual and ontological background, limits of validity, their relation to the theories of evolution and reductionism and to level theories. Level theories are used to make a sequential arrangement of the forms of appearance of moving matter. Aspects of symmetry or symmetry breaking have never been involved in the treatment of these theories. Here, I first attempt to bring knowledges of different origins together. There are two types of level theories: a general one (in philosophy) and particular ones (in the inanimate, the organic nature and in the human society). Particular level theories differ from each other in the three fundamental ontological spheres, and in their description and contents . At the same time they may have common features, e.g., all are particular theories concerning their width of validity, and all are based on an arrangement by a common concept, namely the forms of interaction. The clarification of these conceptual problems was necessary to understand the laws of symmetry breaking. The law of correspondence between the ontological levels and their potential symmetry properties is formulated in four constituent statements and two concluding laws are also presented. The new features of this treatment will link level theories with (dis)symmetry principles, and formulate the laws of symmetry breaking.

Symmetry and asymmetry nonlinear modes in dual cylinder waveguide shells coupled by a rotating double-well connection

Journal of Nonlinear Optical Physics & Materials ◽

10.1142/s021886351850039x ◽

2019 ◽

Vol 28 (01) ◽

pp. 1850039

Author(s):

Weiwen Luo ◽

Ziyan Chen ◽

Zongjun Zou ◽

Zhiwei Fan ◽

Jun Xu ◽

...

Keyword(s):

Power Distribution ◽

Rotation Speed ◽

Total Power ◽

Power Asymmetry ◽

Nonlinear Modes ◽

Wave Symmetry ◽

Potential Applications ◽

Potential Symmetry ◽

Double Well Potential

We study the fundamental nonlinear modes in a dual-cylinder waveguide shell, which features a self-focusing Kerr effect, coupled by a double-well connection. This double-well connection is twisted by a pitch rate and creates a spatial dependent linear mixing, which plays the role of an effective rotating double-well potential. Symmetry transition between the waveform and the power distribution of the fundamental nonlinear modes in this system can be induced both by the total power and by the rotation speed of the connection. Four types of modes — wave symmetry and power symmetry (WSPS), wave symmetry and power asymmetry (WSPA), wave asymmetry and power symmetry (WAPS) and wave asymmetry and power asymmetry (WAPA) — are found from the system. The dependence of these modes on the total power of the light field, the rotation speed and the coupling strength of the connection are systematically studied through the paper. The finding of this paper may offer potential applications in fabrication of new types of nonlinear all-optical devices.

Role of relaxation in the quantum measurement of a superconducting qubit using a nonlinear oscillator

Physical Review B ◽

10.1103/physrevb.78.132508 ◽

2008 ◽

Vol 78 (13) ◽

Cited By ~ 24

Author(s):

T. Picot ◽

A. Lupaşcu ◽

S. Saito ◽

C. J. P. M. Harmans ◽

J. E. Mooij

Keyword(s):

Quantum Measurement ◽

Nonlinear Oscillator ◽

Superconducting Qubit

Stochastic resonance in extended bistable systems: The role of potential symmetry

Physical Review E ◽

10.1103/physreve.59.5142 ◽

1999 ◽

Vol 59 (5) ◽

pp. 5142-5149 ◽

Cited By ~ 77

Author(s):

S. Bouzat ◽

H. S. Wio

Keyword(s):

Stochastic Resonance ◽

Bistable Systems ◽

Potential Symmetry

Role of dactinomycin in the improved survival of children with Wilms' tumor

JAMA ◽

10.1001/jama.195.12.1005 ◽

1966 ◽

Vol 195 (12) ◽

pp. 1005-1009 ◽

Cited By ~ 18

Author(s):

D. J. Fernbach

Keyword(s):

Wilms Tumor

Role of the allergist in diagnosis and management of patients with uveitis

JAMA ◽

10.1001/jama.195.3.167 ◽

1966 ◽

Vol 195 (3) ◽

pp. 167-172 ◽

Cited By ~ 2

Author(s):

T. E. Van Metre

Keyword(s):

Diagnosis And Management

The power of norms to sway fused group members

Behavioral and Brain Sciences ◽

10.1017/s0140525x18001644 ◽

2018 ◽

Vol 41 ◽

Cited By ~ 1

Author(s):

Winnifred R. Louis ◽

Craig McGarty ◽

Emma F. Thomas ◽

Catherine E. Amiot ◽

Fathali M. Moghaddam

Keyword(s):

Evolutionary Anthropology ◽

Normative Systems ◽

Violent Extremism ◽

Identity Fusion ◽

Group Members

AbstractWhitehouse adapts insights from evolutionary anthropology to interpret extreme self-sacrifice through the concept of identity fusion. The model neglects the role of normative systems in shaping behaviors, especially in relation to violent extremism. In peaceful groups, increasing fusion will actually decrease extremism. Groups collectively appraise threats and opportunities, actively debate action options, and rarely choose violence toward self or others.

Elaborating the role of reflection and individual differences in the study of folk-economic beliefs

Behavioral and Brain Sciences ◽

10.1017/s0140525x18000274 ◽

2018 ◽

Vol 41 ◽

Author(s):

Kevin Arceneaux

Keyword(s):

Decision Making ◽

Individual Differences ◽

Cognitive Processes ◽

Evolutionary History ◽

Behavioral Responses ◽

History Of ◽

Economic Beliefs

AbstractIntuitions guide decision-making, and looking to the evolutionary history of humans illuminates why some behavioral responses are more intuitive than others. Yet a place remains for cognitive processes to second-guess intuitive responses – that is, to be reflective – and individual differences abound in automatic, intuitive processing as well.

The role of affect in feelings of obligation

Behavioral and Brain Sciences ◽

10.1017/s0140525x19002449 ◽

2020 ◽

Vol 43 ◽

Author(s):

Stefen Beeler-Duden ◽

Meltem Yucel ◽

Amrisha Vaish

Keyword(s):

Positive Emotions ◽

The Creation ◽

Sense Of Obligation

Abstract Tomasello offers a compelling account of the emergence of humans’ sense of obligation. We suggest that more needs to be said about the role of affect in the creation of obligations. We also argue that positive emotions such as gratitude evolved to encourage individuals to fulfill cooperative obligations without the negative quality that Tomasello proposes is inherent in obligations.

Refining our understanding of the “elephant in the room”

Behavioral and Brain Sciences ◽

10.1017/s0140525x20000096 ◽

2020 ◽

Vol 43 ◽

Author(s):

Andrew Whiten

Keyword(s):

Social Cognition ◽

Cultural Evolution ◽

Cognitive Abilities ◽

Critical Factors ◽

Technological Culture

Abstract The authors do the field of cultural evolution a service by exploring the role of non-social cognition in human cumulative technological culture, truly neglected in comparison with socio-cognitive abilities frequently assumed to be the primary drivers. Some specifics of their delineation of the critical factors are problematic, however. I highlight recent chimpanzee–human comparative findings that should help refine such analyses.