Does neurodynamics have any relation to psychodynamics?
I believe I can see where the confusion lies when comparing the interesting artwork with psychodynamic theory.  The artwork you linked uses Neurological data to form images, whereas you may be getting confused with the famous Rorschach test otherwise known as the Inkblot test, and how the inkblot images are interpreted by the viewer.



Many psychologists in the United Kingdom do not trust its efficacy and it is rarely used, however, it is used by some mental health organisations such as the Tavistock Clinic (BBC, 2012).

The artwork with the "emergence and dissipation of waves" is using neurodynamic data and the Rorschach test is a psychodynamic test.

Neurodynamics relates to, or involves the dynamics of communication between different parts of the nervous system (Source) and the earliest document I can find relating to it is an unclassified document held by the DTIC (US Defence Technical Information Center) (Rosenblatt, 1961).  Shacklock (1995) also talks about neurodynamics in the realm of physiotherapy.

Psychodynamics, as stated in the Wikipedia article you linked, is about the dynamic relations between conscious motivation and unconscious motivation that underlie human behavior, feelings, and emotions and how they might relate to early experience.

So the two are not related, and in fact are very different.

A combination of the 2 sets of theories can be seen to be Neuropsychodynamics as in Miller (1990).

References

BBC (2012). Dr Inkblot BBC Radio 4Review available at: http://www.bbc.co.uk/programmes/b01l0kch

Miller, L. (1990). Neuropsychodynamics of alcoholism and addiction: Personality, psychopathology, and cognitive style. Journal of Substance Abuse Treatment, 7(1), 31-49.DOI: 10.1016/0740-5472(90)90034-N PMID: 2179572

Rosenblatt, F. (1961). Principles of neurodynamics. perceptrons and the theory of brain mechanisms (No. VG-1196-G-8) DTIC [Unclassified PDF]Available from: http://www.dtic.mil/docs/citations/AD0256582

Shacklock, M. (1995). Neurodynamics. Physiotherapy, 81(1), 9-16.DOI: 10.1016/S0031-9406(05)67024-1